What is the 7938th prime number?
The 7938th prime number is 81083. The next prime is 81097 (a gap of 14) and the one before is 81077.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 7938th one is 81083.
- 2
81083 is prime because no prime up to ā81083 ā 284.75 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 7938th prime is close to 7938 Ć ln(7938) ā 71279, and here it is 81083.
- 4
81083 has no twin: neither 81081 nor 81085 is prime.
Primes around the 7938th
| Position | Prime | Gap from the previous |
|---|---|---|
| 7935 | 81049 | 2 |
| 7936 | 81071 | 22 |
| 7937 | 81077 | 6 |
| 7938 | 81083 | 6 |
| 7939 | 81097 | 14 |
| 7940 | 81101 | 4 |
| 7941 | 81119 | 18 |
Questions
What is the 7938th prime number?
81083.
Which prime number is 81083?
81083 is the 7938th prime number.
What is the sum of the first 7938 primes?
304,627,043.